Seminario Análisis y Aplicaciones

The Hausdorff dimension of sets containing circles or line segments in many directions

Ponente:  Antonio Córdoba (ICMAT-UAM)
Fecha:  viernes 05 de junio de 2026 - 11:30
Lugar:  Aula Gris 1, ICMAT

Resumen:

We shall discuss variations of the following theorem: A set K in n-dimensional euclidean space (n > 2) containing a translated copy of every meridian, that is, of every (d − 2)-dimensional sphere passing through the poles of a (d − 1)-dimensional sphere (d < n), must have Hausdorff dimension bigger than, or equal to, d − 1

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